| 两个矩阵和的｛1,3｝-逆与｛1,4｝-逆 |
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| 引用本文： | 张凤霞.两个矩阵和的｛1,3｝-逆与｛1,4｝-逆[J].兰州理工大学学报,2012,38(1):136-139. |
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| 作者姓名： | 张凤霞 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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| 基金项目： | 山东省教育厅科研发展计划项目 |
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| 摘 要： | 利用矩阵的秩方法与广义Schur补的最大秩与最小秩,研究两个矩阵和的{1,3}-逆与{1,4}-逆分别与各个矩阵的{1,3}-逆与{1,4}-逆的和之间的关系.得到{A(1,3)+B(1,3)}={(A+B)(1,3)}以及{A(1,4)+B(1,4)}={(A+B)(1,4)}成立的充要条件.
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| 关 键 词： | ｛1 3｝-逆 ｛1 4｝-逆 广义Schur补 最大秩 最小秩 矩阵秩方法 |
On {1,3}-inverse and {1,4 }-inverse matrix of sum of two matrices |
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| ZHANG Feng-xia.On {1,3}-inverse and {1,4 }-inverse matrix of sum of two matrices[J].Journal of Lanzhou University of Technology,2012,38(1):136-139. |
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| Authors: | ZHANG Feng-xia |
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| Institution: | ZHANG Feng-xia(College of Mathematical Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | The relation between {1,3}-inverse and {1,4}-inverse of sum of two matrices and the sum of {1,3}-inverse and {1,4}-inverse of every matrix was studied by using matrix rank method and maximal ranks and minimal ranks of generalized Schur complement.The necessary and sufficient conditions of {A(1,3)+B(1,3)}={(A+B)(1,3)} and {A(1,4)+B(1,4)}={(A+B)(1,4)} were obtained. |
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| Keywords: | {1 3}-inverse {1 4}-inverse generalized Schur complement maximal ranks minimal ranks matrix rank method |
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